Answer:
a. 12 feet b. 12 feet 0.5 inches c. 8.33 %
Step-by-step explanation:
a. How far out horizontally on the ground will it protrude from the building?
Since the rise to run ratio is 1:12 and the building is 12 inches off the ground, let x be the horizontal distance the ramp protrudes.
So, by ratios rise/run = 1/12 = 12/x
1/12 = 12/x
x = 12 × 12
x = 144 inches
Since 12 inches = 1 foot, 144 inches = 144 × 1 inch = 144 × 1 foot/12 inches = 12 feet
b. How long should the ramp be?
The length of the ramp, L is gotten from Pythagoras' theorem since the ramp is a right-angled triangle with sides 12 inches and 144 inches respectively.
So, L = √(12² + 144²)
= √[12² + (12² × 12²)]
= 12√(1 + 144)
= 12√145
= 12 × 12.042
= 144.5 inches
Since 12 inches = 1 foot, 144.5 inches = 144 × 1 inch + 0.5 inches = 144 × 1 foot/12 inches + 0.5 inches = 12 feet 0.5 inches
c. What percent grade is the ramp?
The percentage grade of the ramp = rise/run × 100 %
= 12 inches/144 inches × 100 %
= 1/12 × 100 %
= 0.0833 × 100 %
= 8.33 %
Answer: -23
Step-by-step explanation:
Answer: 5/6 inch/minute
Whenever you are working with a question of rate where two different quantities are being compared, the required units will indicate which quantity is to be divided by which.
In this case you want to know inches per minute.Therefore:
5
8
inches
÷
3
4
minute
5
8
÷
3
4
=
5
8
×
4
3
←
multiply by the reciprocal
=
5
8
2
×
4
3
=
5
6
56
28 2
14 2 | 2
7 2 | 2 | 2
or
56
14 4
7 2 | 2 2
Answer: Answer: The answer should be x = -1. Hope this helps!
